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Finding the Fourth Proportional to 213,774.80, 320,892.60 and 120,462.80

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Solution

The fourth proportional to 213,774.80, 320,892.60 and 120,462.80 is: 180,824.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,774.80 : 320,892.60 = 120,462.80 : x
  2. Step 2: Convert to fraction form
    213,774.80/320,892.60 = 120,462.80/x
  3. Step 3: Cross multiply
    213,774.80x = 320,892.60 × 120,462.80
  4. Step 4: Simplify right side
    213,774.80x = 38,655,621,095.28
  5. Step 5: Solve for x
    x = 38,655,621,095.28/213,774.80
  6. Step 6: Final answer
    x = 180,824.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.